What is the general form of the equation of a circle with its center at (-2, 1) and passing through (-4, 1)?

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What is the general form of the equation of a circle with its center at (-2, 1) and passing through (-4, 1)?

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Answer 1 · 2016-03-22T10:05:00

#(x+2)^2+(y-1)^2=4#

Explanation:

#"first ; let's find the radius of circle:"#
#"Center: "(-2,1)#
#"Point: "(-4,1)#
#Delta x"=Point(x)-Center(x)"#
#Delta x=-4+2=-2#
#Delta y"=Point(y)-Center(y)"#
#Delta y=1-1=0#
#r=sqrt(Delta x^2+Delta y^2)#
#r=sqrt((-2)^2+0)#
#r=2" radius"#

#"now ; we can write the equation"#
#C(a,b)" center's coordinates"#
#(x-a)^2+(y-b)^2=r^2#

#(x+2)^2+(y-1)^2=2^2#

#(x+2)^2+(y-1)^2=4#

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What is the general form of the equation of a circle with its center at (-2, 1) and passing through (-4, 1)?

1 Answer

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